Question

Hasil integral sec x cotan^2 x dx = hal 21

Answer 1

Verified answer

Integral Substitusi.

∫ sec x cot² x dx
= ∫ (1 / cos x) (cos x / sin x)² dx
= ∫ (cos x / sin² x) dx
u = sin x
du / dx = cos x
= ∫ (cos x / u²) du / cos x
= ∫ u⁻² du
= -1/u + C
= -1 / sin x + C
= -csc x + C